https://doi.org/10.1140/epjs/s11734-024-01158-7
Regular Article
Synchronization and multistability in a higher-order network of modulated laser models
1
Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India
2
School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi’an 710021, People’s Republic of China
3
Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
4
Istituto Nazionale di Ottica-CNR, Largo E. Fermi 6, 50125 Firenze, Italy
Received:
30
January
2024
Accepted:
1
April
2024
Published online:
18
April
2024
The study delves into higher-order networks, extending beyond pairwise connections, using modulated laser models, and employing simplicial complexes to model non-pairwise interactions. Two coupling scenarios, linear and nonlinear diffusive functions, are explored. Our results demonstrate that the linear diffusive coupling leads to synchronization, further enhanced with multi-node interactions, and a tendency for forming synchronous clusters before complete synchrony. In contrast, nonlinear diffusive coupling results in a cluster synchronization state with oscillation death and periodic solutions, along with observed chimera and solitary states. In this scenario, the network fails to achieve complete synchrony. Regardless of the coupling function, the network exhibits different solutions within each synchronization pattern, showcasing the potential for multistability—the coexistence of stable solutions across various collective dynamics.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
